Suppose a stereo receiver manufacturer has the total cost function and the total revenue function , where x represents the number of units produced and sold. What is the equation of the profit function, , for this commodity?

Question

Suppose a stereo receiver manufacturer has the total cost function  and the total revenue function  , where x represents the number of units produced and sold. What is the equation of the profit function,  , for this commodity? ​

Quizplus · Accepted Answer

The profit function is given by P(x) = R(x) - C(x), where R(x) is the total revenue function and C(x) is the total cost function. Therefore, we have:
P(x) = 10x - 0.1x^2 - 5x - 4000
Simplifying, we get:
P(x) = -0.1x^2 + 5x - 4000
Therefore, the answer is E.

Suppose a Stereo Receiver Manufacturer Has the Total Cost Function